Starting with polynomial:
P : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Extension levels are: 8 11 28
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Trying to find an order 11 Kronrod extension for:
P1 : t^8 - 28*t^6 + 210*t^4 - 420*t^2 + 105
Solvable: 1
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Trying to find an order 28 Kronrod extension for:
P2 : t^19 - 150851/1347*t^17 + 6541430/1347*t^15 - 47540390/449*t^13 + 566981260/449*t^11 - 3753992440/449*t^9 + 13180991670/449*t^7 - 21510616050/449*t^5 + 12604959675/449*t^3 - 2144332575/449*t
Solvable: 1
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Ending with final polynomial:
P : t^47 - 1194483575745888349515185867823172885300934124725225632047823528736960941417274358081537175438878857290515883617/1502776314935956282728604582436986130845347851712546655421143008199001784456031708198871184669560431884442619*t^45 + 430482409435641653794510186565753436594887241888485716659293959095910642954899710943318581917121606225202527648615/1502776314935956282728604582436986130845347851712546655421143008199001784456031708198871184669560431884442619*t^43 - 2521405736913832907768901096366818844714867478313709481676047876760859418357482596325318637041242327845714207381339295/40574960503270819633672323725798625532824391996238759696370861221373048180312856121369521986078131660879950713*t^41 + 7004419198393201410048380090859791715906241018621818183481103325742292773209525845493925427740173648008588409410991048965/770924249562145573039774150790173885123663447928536434231046363206087915425944266306020917735484501556719063547*t^39 - 244152415054285168553487567405279814931089644146027474721427907103043665082454193226281982113709097697297665126325854180125/256974749854048524346591383596724628374554482642845478077015454402029305141981422102006972578494833852239687849*t^37 + 18912657640106506215672688566424074798940129691173964704671869992478131883195584464492301930888632273396403458894494837552675/256974749854048524346591383596724628374554482642845478077015454402029305141981422102006972578494833852239687849*t^35 - 1109163450086076379467472552364002596378226034350448862252510851124950249379915134353042931929635908060072486861897054790330425/256974749854048524346591383596724628374554482642845478077015454402029305141981422102006972578494833852239687849*t^33 + 1512596881374461495206085914053469862049143567392985690107030191333164968240867954518824238134523727372690058170534666642397050/7787113631940864374139132836264382678016802504328650850818650133394827428544891578848696138742267692492111753*t^31 - 52634987244126811093775362210527403706558066405950339029177308603486487047546827272020969226251571068792192630352929752173280750/7787113631940864374139132836264382678016802504328650850818650133394827428544891578848696138742267692492111753*t^29 + 34649675850026633149291439350952620166527582300502752410802993649255278963730472586400830476433511571205772631582157781363282450/189929600779045472539978849664984943366263475715332947580942686180361644598655892167041369237616285182734433*t^27 - 9905998948762451216694177311939314877186129517408501868556223983425268957779068513002145309557094304733438263617334848146090982450/2595704543980288124713044278754794226005600834776216950272883377798275809514963859616232046247422564164037251*t^25 + 159903873397677826500585661310242697546230406713968821835011212701442496370583685946448871932649314851698942656064751104835334256250/2595704543980288124713044278754794226005600834776216950272883377798275809514963859616232046247422564164037251*t^23 - 1975694795440032130209921432661708161553608677480103940985832537969469475587152207185574407775019496396233060715948170539291080598750/2595704543980288124713044278754794226005600834776216950272883377798275809514963859616232046247422564164037251*t^21 + 971369498499402062309323352840703743379390113793183857896518523737082500457448340130365316611686831801378025400979822291789335533750/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^19 - 6742192728423615679898044424262241649999924949833958031965305288906519012459698208746960080895923529294083154054141340680499293721250/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^17 + 33942952627386772681881020463923135608030554519899484620931610739981048372912732502311045589962470830964876248976846587455934074623125/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^15 - 119868461960642203569398623164698443108682277686155351706036330971069561504620258773007573513383977701108679016065113259880527979859375/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^13 + 283278436595349206763707735515524837563051285135611119182693365852765705866162873813281051302516051373499512261074026966614551586315625/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^11 - 418667837777642410288654889155512012648845994846673089485263494108112422629560319755006306019864812756886952793610568015479001963271875/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^9 + 350159195596690367225265420925996693975950985949315077468073968833597965055899277868416508231234375428044889217282310628638676311671875/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^7 - 141868284307233351915800133795887572636183750736354986968569779470325580908903492595364025518023810261607927101875169165721120782390625/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^5 + 20654718585953766957297460447266768104540193117786730514966459393805898521156417308775379322019290060370472385866977616215356621109375/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t^3 - 149581533247864174744375346975316623874146815318221828045695623595289777465459838088324379548023157448550525277180632365005767078125/136616028630541480248054962039726011895031622882958786856467546199909253132366518927170107697232766534949329*t
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Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 0
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 0
  current precision for roots: 212
  current precision for roots: 424
 current precision for weights: 212
Linear system for weights solvable: 1
  current precision for roots: 424
  current precision for roots: 848
 current precision for weights: 424
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   42 out of 47
Indefinite weights: 0 out of 47
Negative weights:   5 out of 47
Extension rule has valid weights: 0
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*** EXTENSION WITH INVALID WEIGHTS ***
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